A 2.61-kg mass is pushed against a horizontal spring of force constant 24.7 N/cm
ID: 1581985 • Letter: A
Question
A 2.61-kg mass is pushed against a horizontal spring of force constant 24.7 N/cm on a frictionless air table. The spring is attached to the tabletop, and the mass is not attached to the spring in any way. When the spring has been compressed enough to store 10.6 J of potential energy in it, the mass is suddenly released from rest.
ONLY need parts b and d!!!!!
(a) Find the greatest speed the mass reaches.
2.9 m/s (correct ans)
(b) When does this occur? (Select all that apply.)
Kinetic energy is the largest.
The potential energy is the largest.
The kinetic energy is the smallest.
The potential energy is the smallest.
(c) What is the greatest acceleration of the mass
87.7 m/s2
( correct ans)
(d) When does it occur? (Select all that apply.)
The force on the mass is the greatest.
The force on the mass is the least.
The spring has its maximum compression.
The spring has its minimum compression.
Explanation / Answer
b)By law of conservation of energy, when the speed is the highest, the kinetic energy is the highest and hence the potential energy is the smallest (option c)
d)The maximum acceleration occurs when the force on the object is the maximum. This happens when the spring has maximum compression as force by the spring = k*x
hence the correct answer is (option a and c)
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